Kooperativer Bibliotheksverbund

UID:

Format: XXIV, 742 S. : Ill., graph. Darst.

ISBN: 3-540-97855-0 , 0-387-97855-0

Language: English

Subjects: Computer Science

Keywords: AXIOM

UID:

Format: XXIV, 742p. , online resource.

ISBN: 9781461229407

Content: Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at the IBM Thomas J. Watson Research Center. AXIOM's scope, structure, and organization make it outstanding among computer algebra systems. AXIOM: The Scientific Computation System is a companion to the AXIOM system. The text is written in a straightforward style and begins with a spirited foreword by David and Gregory Chudnovsky. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques. Eighty illustrations and eight pages of color inserts accompany text detailing methods used in the 2D and 3D interactive graphics system, and over 2500 example input lines help the reader solve formerly intractable problems.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9781461277293

Language: English

DOI: 10.1007/978-1-4612-2940-7

URL: http://dx.doi.org/10.1007/978-1-4612-2940-7

URL: Volltext

UID:

Format: 1 Online-Ressource (xxviii, 714 Seiten) : , Illustrationen, Diagramme (teilweise farbig).

ISBN: 978-1-80107-162-8

Series Statement: Expert insight

Note: Includes bibliographical references and index

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-1-80107-785-9

Language: English

Subjects: Computer Science

Keywords: Quantencomputer ; Qubit

URL: Volltext  (URL des Erstveröffentlichers)

UID:

Format: XXIV, 742 S. : Ill., graph. Darst.

ISBN: 0-387-97855-0 , 3-540-97855-0

Language: English

Subjects: Computer Science

Keywords: AXIOM

UID:

Format: xviii, 488 Seiten : , Diagramme.

ISBN: 978-1-83882-736-6 , 978-1-80107-785-9 , 1-83882-736-6

Series Statement: Expert Insight

Language: English

Subjects: Computer Science

Keywords: Quantencomputer ; Qubit

UID:

Format: 1 Online-Ressource (xviii, 488 Seiten) : , Diagramme.

ISBN: 978-1-83882-525-6

Series Statement: Expert insight

Note: 7.3 The complex math and physics of a single qubit , Cover -- Title Page -- Copyright -- Packt page -- Dedication -- Contributors -- Contents -- List of Figures -- Preface -- Chapter 1: Why Quantum Computing? -- 1.1 The mysterious quantum bit -- 1.2 I'm awake! -- 1.3 Why quantum computing is different -- 1.4 Applications to artificial intelligence -- 1.5 Applications to financial services -- 1.6 What about cryptography? -- 1.7 Summary -- I Foundations -- Chapter 2: They're Not Old, They're Classics -- 2.1 What's inside a computer? -- 2.2 The power of two -- 2.3 True or false? -- 2.4 Logic circuits -- 2.5 Addition, logically , 2.6 Algorithmically speaking -- 2.7 Growth, exponential and otherwise -- 2.8 How hard can that be? -- 2.8.1 Sorting -- 2.8.2 Searching -- 2.9 Summary -- Chapter 3: More Numbers than You Can Imagine -- 3.1 Natural numbers -- 3.2 Whole numbers -- 3.3 Integers -- 3.4 Rational numbers -- 3.4.1 Fractions -- 3.4.2 Getting formal again -- 3.5 Real numbers -- 3.5.1 Decimals -- 3.5.2 Irrationals and limits -- 3.5.3 Binary forms -- 3.5.4 Continued fractions -- 3.6 Structure -- 3.6.1 Groups -- 3.6.2 Rings -- 3.6.3 Fields -- 3.6.4 Even greater abstraction -- 3.7 Modular arithmetic -- 3.8 Doubling down , 3.9 Complex numbers, algebraically -- 3.9.1 Arithmetic -- 3.9.2 Conjugation -- 3.9.3 Units -- 3.9.4 Polynomials and roots -- 3.10 Summary -- Chapter 4: Planes and Circles and Spheres, Oh My -- 4.1 Functions -- 4.2 The real plane -- 4.2.1 Moving to two dimensions -- 4.2.2 Distance and length -- 4.2.3 Geometric figures in the real plane -- 4.2.4 Exponentials and logarithms -- 4.3 Trigonometry -- 4.3.1 The fundamental functions -- 4.3.2 The inverse functions -- 4.3.3 Additional identities -- 4.4 From Cartesian to polar coordinates -- 4.5 The complex ``plane'' -- 4.6 Real three dimensions , 4.7 Summary -- Chapter 5: Dimensions -- 5.1 R2 and C2 -- 5.2 Vector spaces -- 5.3 Linear maps -- 5.3.1 Algebraic structure of linear transformations -- 5.3.2 Example linear transformations on R2 -- 5.4 Matrices -- 5.4.1 Notation and terminology -- 5.4.2 Matrices and linear maps -- 5.5 Matrix algebra -- 5.5.1 Arithmetic of general matrices -- 5.5.2 Arithmetic of square matrices -- 5.6 Cartesian products -- 5.7 Length and preserving it -- 5.7.1 Dot products -- 5.7.2 Inner products -- 5.7.3 Euclidean norm -- 5.7.4 Reflections again -- 5.7.5 Unitary transformations , 5.7.6 Systems of linear equations -- 5.8 Change of basis -- 5.9 Eigenvectors and eigenvalues -- 5.10 Direct sums -- 5.11 Homomorphisms -- 5.11.1 Group homomorphisms -- 5.11.2 Ring and field homomorphisms -- 5.11.3 Vector space homomorphisms -- 5.12 Summary -- Chapter 6: What Do You Mean ""Probably""? -- 6.1 Being discrete -- 6.2 More formally -- 6.3 Wrong again? -- 6.4 Probability and error detection -- 6.5 Randomness -- 6.6 Expectation -- 6.7 Markov and Chebyshev go to the casino -- 6.8 Summary -- II Quantum Computing -- Chapter 7: One Qubit -- 7.1 Introducing quantum bits -- 7.2 Bras and kets

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-1-83882-736-6

Language: English

Subjects: Computer Science

Keywords: Quantencomputer ; Qubit

UID:

Format: 1 online resource (745 pages)

ISBN: 1-80107-162-4

Content: Millions of software developers use Python, and it is a powerful foundation for classical and quantum computing. Dancing with Python teaches you how to create elegant and efficient code using Pythonic techniques. Its integrated introduction to quantum computing development helps you extend your skills to the next major computing technology.

Note: Intro -- Copyright -- Dedication -- Contributors -- Table of Contents -- List of Figures -- Preface -- Why did I write this book? -- For whom did I write this book? -- What does this book cover? -- What conventions do I use in this book? -- Download the example code files -- Download the color images -- Get in touch -- Chapter 1: Doing the Things That Coders Do -- 1.1 Data -- 1.2 Expressions -- 1.3 Functions -- 1.4 Libraries -- 1.5 Collections -- 1.6 Conditional processing -- 1.7 Loops -- 1.8 Exceptions -- 1.9 Records -- 1.10 Objects and classes -- 1.11 Qubits -- 1.12 Circuits -- 1.13 Summary -- Part I: Getting to Know Python -- Chapter 2: Working with Expressions -- 2.1 Numbers -- 2.2 Strings -- 2.3 Lists -- 2.4 Variables and assignment -- 2.5 True and False -- 2.6 Arithmetic -- 2.7 String operations -- 2.8 List operations -- 2.9 Printing -- 2.10 Conditionals -- 2.11 Loops -- 2.12 Functions -- 2.13 Summary -- Chapter 3: Collecting Things Together -- 3.1 The big three -- 3.2 Lists -- 3.3 The joy of O(1) -- 3.4 Tuples -- 3.5 Comprehensions -- 3.6 What does "Pythonic" mean? -- 3.7 Nested comprehensions -- 3.8 Parallel traverse -- 3.9 Dictionaries -- 3.10 Sets -- 3.11 Summary -- Chapter 4: Stringing You Along -- 4.1 Single, double, and triple quotes -- 4.2 Testing for substrings -- 4.3 Accessing characters -- 4.4 Creating strings -- 4.5 Strings and iterations -- 4.6 Strings and slicing -- 4.7 String tests -- 4.8 Splitting and stripping -- 4.9 Summary -- Chapter 5: Computing and Calculating -- 5.1 Using Python modules -- 5.2 Integers -- 5.3 Floating-point numbers -- 5.4 Rational numbers -- 5.5 Complex numbers -- 5.6 Symbolic computation -- 5.7 Random numbers -- 5.8 Quantum randomness -- 5.9 Summary -- Chapter 6: Defining and Using Functions -- 6.1 The basic form -- 6.2 Parameters and arguments -- 6.3 Naming conventions -- 6.4 Return values. , 6.5 Keyword arguments -- 6.6 Default argument values -- 6.7 Formatting conventions -- 6.8 Nested functions -- 6.9 Variable scope -- 6.10 Functions are objects -- 6.11 Anonymous functions -- 6.12 Recursion -- 6.13 Summary -- Chapter 7: Organizing Objects into Classes -- 7.1 Objects -- 7.2 Classes, methods, and variables -- 7.3 Object representation -- 7.4 Magic methods -- 7.5 Attributes and properties -- 7.6 Naming conventions and encapsulation -- 7.7 Commenting Python code -- 7.8 Documenting Python code -- 7.9 Enumerations -- 7.10 More polynomial magic -- 7.11 Class variables -- 7.12 Class and static methods -- 7.13 Inheritance -- 7.14 Iterators -- 7.15 Generators -- 7.16 Objects in collections -- 7.17 Creating modules -- 7.18 Summary -- Chapter 8: Working with Files -- 8.1 Paths and the file system -- 8.2 Moving around the file system -- 8.3 Creating and removing directories -- 8.4 Lists of files and folders -- 8.5 Names and locations -- 8.6 Types of files -- 8.7 Reading and writing files -- 8.8 Saving and restoring data -- 8.9 Summary -- Part II: Algorithms and Circuits -- Chapter 9: Understanding Gates and Circuits -- 9.1 The software stack -- 9.2 Boolean operations and bit logic gates -- 9.3 Logic circuits -- 9.4 Simplifying bit expressions -- 9.5 Universality for bit gates -- 9.6 Quantum gates and operations -- 9.7 Quantum circuits -- 9.8 Universality for quantum gates -- 9.9 Summary -- Chapter 10: Optimizing and Testing Your Code -- 10.1 Testing your code -- 10.2 Timing how long your code takes to run -- 10.3 Optimizing your code -- 10.4 Looking for orphan code -- 10.5 Defining and using decorators -- 10.6 Summary -- Chapter 11: Searching for the Quantum Improvement -- 11.1 Classical searching -- 11.2 Quantum searching via Grover -- 11.3 Oracles -- 11.4 Inversion about the mean -- 11.5 Amplitude amplification -- 11.6 Searching over two qubits. , 11.7 Summary -- Part III: Advanced Features and Libraries -- Chapter 12: Searching and Changing Text -- 12.1 Core string search and replace methods -- 12.2 Regular expressions -- 12.3 Introduction to Natural Language Processing -- 12.4 Summary -- Chapter 13: Creating Plots and Charts -- 13.1 Function plots -- 13.2 Bar charts -- 13.3 Histograms -- 13.4 Pie charts -- 13.5 Scatter plots -- 13.6 Moving to three dimensions -- 13.7 Summary -- Chapter 14: Analyzing Data -- 14.1 Statistics -- 14.2 Cats and commas -- 14.3 pandas DataFrames -- 14.4 Data cleaning -- 14.5 Statistics with pandas -- 14.6 Converting categorical data -- 14.7 Cats by gender in each locality -- 14.8 Are all tortoiseshell cats female? -- 14.9 Cats in trees and circles -- 14.10 Summary -- Chapter 15: Learning, Briefly -- 15.1 What is machine learning? -- 15.2 Cats again -- 15.3 Feature scaling -- 15.4 Feature selection and reduction -- 15.5 Clustering -- 15.6 Classification -- 15.7 Linear regression -- 15.8 Concepts of neural networks -- 15.9 Quantum machine learning -- 15.10 Summary -- Appendices -- Appendix A: Tools -- A.1 The operating system command line -- A.2 Installing Python -- A.3 Installing Python modules and packages -- A.4 Installing a virtual environment -- A.5 Installing the Python packages used in this book -- A.6 The Python interpreter -- A.7 IDLE -- A.8 Visual Studio Code -- A.9 Jupyter notebooks -- A.10 Installing and setting up Qiskit -- A.11 The IBM Quantum Composer and Lab -- A.12 Linting -- Appendix B: Staying Current -- B.1 python.org -- B.2 qiskit.org -- B.3 Python expert sites -- B.4 Asking questions and getting answers -- Appendix C: The Complete UniPoly Class -- Appendix D: The Complete Guitar Class Hierarchy -- Appendix E: Notices -- E.1 Photos, images, and diagrams -- E.2 Data -- E.3 Trademarks -- E.4 Python 3 license -- Appendix F: Production Notes. , References -- Packt Page -- Other Books You May Enjoy -- Index -- Index Formatting Examples -- Function, method, and property index -- Class index -- Module and package index -- General index.

Additional Edition: ISBN 1-80107-785-1

Language: English